JZM1 Finite Mathematics Task 1: Venn Diagram

Part A: Venn Diagram that demonstrates the following: Let the universal set U {positive integers 1 through 15} A {elements of the universal set that are also multiples of 2} B {elements of the universal set that are also multiples of 3} C {elements of the universal set that are also multiples of 5}

1. U {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
2. A {2, 4, 6, 8, 10, 12, 14}
3. B {3, 6, 9, 12, 15}
4. C {5, 10, 15}

Part B: How to determine the placement of each number in the diagram To make the determination of the placement of the numbers in the diagram, first determine what sets U, A, B, and C will include. Using the assumptions given in the directions, it is determined that the...